A graph of $f$ is drawn. Graph of a transformed version of $f$ is to be sketched, by dragging various points around.

Sketch a quadratic of the form $ax^2-b$ by moving points on graph.

Horizontal and vertical shifts and scales of a random cubic spline

Given a linear programming problem in standard form, write down the dual problem.

of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Given a linear programming problem in standard form, write down the dual problem.

Given a linear programming problem in standard form, write down the dual problem.

Given a linear programming problem in standard form, write down the dual problem.

Given a linear programming problem in standard form, write down the dual problem.

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

aleatorio de función cubica

aleatorio de función cubica

Horizontal and vertical shifts and scales of a random cubic spline

Multiplicación y división de números complejos. 

Inverso y división de números complejos.

Multiplicación y suma de números complejos.

Ejemplos elementales de multiplicación y suma de números complejos.